Publications
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Book(s)
1. Theory of Nonlinear Optimization (in Korean),
Min-Eum Co., 1998
Book chapters (invited)
1. Vector variational inequality as a tool for studying vector optimization problems in “Vector Variational Inequalities and Vector Equilibria”, ed. F. Giannessi Kluwer Academic Publishers, 2000, 277-305 (with G.M. Lee, B.S. Lee and N.D.Yen)
2. Optimality Conditions for Approximate Solutions of Nonsmooth Semi-Infinite Vector Optimization Problems in “Continuous Optimization and Variational Inequalities”, ed. A. Jayswal & T. Antczak, CRC Press, 2023, 39-53 (with Liguo Jiao)
Online publications and arXiv preprints
1. Do Sang Kim, Nguyen Minh Tung, Pham Tien-Son,
Publications (selected since 2001)
2024 (2)
1. Duong Thi Kim Huyen, Do Sang Kim*, Nguyen Dong Yen: Optimality conditions for nondifferentiable minimax programs and vector optimization problems. J. Optim. Theory Appl. 200 (2024), no. 2, 703–723. (SCI-E, Scopus)
2. Feng Guo*, Liguo Jiao, Do Sang Kim: On continuous selections of polynomial functions. Optimization. 73 (2024), no. 2, 295–328. (SCI-E, Scopus)
2023 (4)
1. Nguyen Thi Toan, Le Quang Thuy, Do Sang Kim*: Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map. Journal of Computational and Applied Mathematics, 418 (2023). 114662 (SCI-E, Scopus)
2. Feng
3. Guang-Ri Piao, Zhe Hong*, Kwan Deok Bae, Do Sang Kim: A characterization of the ε-normal set and its application in Robust convex optimization problems. J. Nonlinear Var. Anal. 7 (2023), no. 6, 897-907. (SCI-E, Scopus)
4. Kwan Deok Bae, Do Sang Kim*, Guang-Ri Piao, Tatiana Shitkovskaya: ε-Wolfe type duality for convex optimization problems under data uncertainty. J. Nonlinear Convex Anal. 24 (2023), no. 12, 2573–2592. (SCI-E, Scopus)
2022 (5)
1. Do Sang Kim, Nguyen Ngoc Hai, Bui Van Dinh*: Weak convergence theorems for symmetric generalized hybrid mappings and equilibrium problems. Numerical Algebra, Control and Optimization, 12 (2022), no. 1, 63-78. (ESCI, Scopus)
2. Kwan Deok Bae, Tatiana Shitkovskaya, Zhe Hong, Do Sang Kim*: Optimality conditions and duality in nonsmooth multiobjective fractional programming. J. Nonlinear Convex Anal. 23 (2022), no. 1, 99–112. (SCI-E, Scopus)
3. Ta Quang Son, Do Sang Kim*: A dual scheme for solving linear countable semi-infinite fractional programming problems. Optim. Lett. 16 (2022), no. 2, 575-588. (SCI-E, Scopus)
4. Nguyen Ngoc Luan, Do Sang Kim, Nguyen Dong Yen*: Two optimal value functions in parametric conic linear programming. J. Optim. Theory Appl. 193 (2022), 574-597. (SCI-E, Scopus)
5. Zhe Hong, Kwan Deok Bae, Do Sang Kim*: Minimax programming as a tool for studying robust multi-objective optimization problems. Ann. Oper. Res. 319 (2022), no. 2, 1589-1606. (SCI-E, Scopus)
2021 (6)
1. Liguo Jiao, Do Sang Kim*, Yuying Zhou: Quasi ε-solutions in a semi-infinite programming problem with locally Lipschitz data. Optim. Lett. 15 (2021), no. 5, 1759–1772. (SCI-E, Scopus)
2. Tatiana Shitkovskaya, Liguo Jiao, Do Sang Kim*: Multi-criteria optimization problems with fractional objectives: approximate optimality and approximate duality. J. Nonlinear Convex Anal. 22 (2021), no. 6, 1117–1131. (SCI-E, Scopus)
3. Kwan Deok Bae, Zhe Hong, Do Sang Kim*: A minimax approach to characterize quasi ε-Pareto solutions in multiobjective optimization problem. J. Nonlinear Var. Anal. 5 (2021), no. 5, 709-720. (SCI-E, Scopus)
4. Do Sang Kim, Boris S. Mordukhovich, Pham, Tien-Son, Nguyen Van Tuyen*: Existence of efficient and properly efficient solutions to problems of constrained vector optimization. Math. Program. Ser. A, 190, (2021), 259–283.(SCI-E)
5. Kwan Deok Bae, Tatiana Shitkovskaya, Do Sang Kim*: A note on minimax optimization problems with an infinite number of constraints. J. Applied and Numerical Optimization. 3 (2021), no. 3. 521-531. (Scopus)
6. Kwan Deok Bae, Guang-Ri Piao, Zhe Hong, Do Sang Kim*: On Minimax Fractional Semi-Infinite Programming Problems with Applications. Numerical Functional Analysis and Optimization. 42 (2021), no. 13. 1522-1538. (SCI-E, Scopus)
2020 (6)
1. Mohsen Hoseini, Shahram Saeidi* Do Sang Kim: On perturbed hybrid steepest descent method with minimization or superiorization for subdifferentiable functions. Numer. Algorithms 85 (2020), no. 1, 353–374. (SCI-E, Scopus)
2. Liguo Jiao, Do Sang Kim*: Weakly quasi ε-efficiency for semi-infinite multi-objective optimization problems with locally Lipschitzian data. Appl. Anal. Optim. 4 (2020), no. 1, 65–78. (ISSN 2432-1656)
3. Tatiana Shitkovskaya, Zhe Hong, Do Sang Kim, Guang-Ri Piao*: Approximate necessary optimality in fractional semi-infinite multiobjective optimization. J. Nonlinear Convex Anal. 21 (2020), no. 1, 195–204. (SCI-E, Scopus)
4. Liguo Jiao, Bui Van Dinh, Do Sang Kim, Min Yoon*: Mixed type duality for a class of multiple objective optimizati on problems with an infinite number of constraints. J. Nonlinear Convex Anal. 21 (2020), no. 1, 49–61. (SCI-E, Scopus)
5. Nguyen Van Tuyen, Nguyen Quang Huy, Do Sang Kim*: Strong second-order Karush-Kuhn-Tucker optimality conditions for vector optimization. Appl. Anal. 99 (2020), no. 1, 103–120. (SCI-E, Scopus)
6. Zhe Hong, Liguo Jiao, Do Sang Kim*: On a class of nonsmooth fractional robust multi-objective optimization problems. Part I: Optimality conditions. Appl. Set-Valued Anal. Optim. 2 (2020), no.1, 109–121. (Scopus)
2019 (9)
1. Hong, Zhe; Jiao, Liguo; Kim, Do Sang*: Approximate optimality conditions for robust convex optimization without convexity of constraints. Linear Nonlinear Anal. 5 (2019), no. 1, 173–182. (ISSN 2188-8159)
2. Jiao, Liguo; Kim, Hyun-Min; Meng, Jie; Kim, Do Sang*: Representation of the normal cone and its applications in robust minimax programming problems. J. Nonlinear Convex Anal. 20 (2019), no. 12, 2495–2506. (SCI-E, Scopus)
3. Shitkovskaya, Tatiana; Hong, Zhe; Jiao, Liguo; Kim, Do Sang*: Approximate solutions in nonsmooth robust optimization with locally Lipschitz constraints. J. Nonlinear Convex Anal. 20 (2019), no. 9, 1825–1835. (SCI-E, Scopus)
4. Kim, Do Sang; Pham, Tien-Son; Tuyen, Nguyen Van*: On the existence of Pareto solutions for polynomial vector optimization problems. Math. Program. Ser. A, 177 (2019), no. 1-2, 321–341. (SCI-E, Scopus)
5. Hong, Zhe; Bae, Kwan Deok; Kim, Do Sang*: Optimality conditions in convex optimization with locally Lipschitz constraints. Optim. Lett. 13 (2019), no. 5, 1059–1068. (SCI-E, Scopus)
6. Hong, Zhe; Piao, Guang-Ri; Kim, Do Sang*: On approximate solutions of nondifferentiable vector optimization problems with cone-convex objectives. Optim. Lett. 13 (2019), no. 4, 891–906. (SCI-E, Scopus)
7. Hong, Zhe; Jiao, Liguo; Kim, Do Sang*: On a weakly C-ε-vector saddle point approach in weak vector problems. J. Nonlinear Var. Anal. 3 (2019), no. 1, 53–60. (SCI-E, Scopus)
8. Huy, Nguyen Quang; Kim, Do Sang*; Tuyen, Nguyen Van: New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization. Appl. Math. Optim. 79 (2019), no. 2, 279–307. (SCI-E, Scopus)
9. Singh, Deepak; Dar, Bilal Ahmad; Kim, Do Sang*: Sufficiency and duality in non-smooth interval valued programming problems. J. Ind. Manag. Optim. 15 (2019), no. 2, 647–665. (SCI-E, Scopus)
2018 (6)
1. Shitkovskaya, Tatiana; Hong, Zhe; Kim, Do Sang*: Optimality conditions for generalized approximate solutions in semi-infinite multiobjective optimization. J. Nonlinear Convex Anal. 19 (2018), no. 10, 1643–1654. (SCI-E, Scopus)
2. Shitkovskaya, Tatiana; Kim, Do Sang*: ε-efficient solutions in semi-infinite multiobjective optimization. RAIRO Oper. Res. 52 (2018), no. 4-5, 1397–1410. (SCI-E, Scopus)
3. Kim, Do Sang*; Tuyen, Nguyen Van: A note on second-order Karush-Kuhn-Tucker necessary optimality conditions for smooth vector optimization problems. RAIRO Oper. Res. 52 (2018), no. 2, 567–575. (SCI-E, Scopus)
4. Kim, Do Sang*; Son, Ta Quang: An approach to ε-duality theorems for nonconvex semi-infinite multiobjective optimization problems. Taiwanese J. Math. 22 (2018), no. 5, 1261–1287. (SCI-E, Scopus)
5. Chuong, Thai Doan; Kim, Do Sang*: Normal regularity for the feasible set of semi-infinite multiobjective optimization problems with applications. Ann. Oper. Res. 267 (2018), no. 1-2, 81–99. (SCI-E, Scopus)
6. Kim, Do Sang*; Van Dinh, Bui: Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces. Numer. Algorithms 77 (2018), no. 3, 741–761. (SCI-E, Scopus)
2017 (4)
1. Shitkovskaya, Tatiana; Han, Jeuk; Kim, Do Sang*: Generalized approximate solutions for multiobjective optimization with infinitely many criteria. Appl. Anal. Optim. 1 (2017), no. 3, 401–410. (ISSN 2432-1656)
2. Huy, Nguyen Quang; Kim, Do Sang*; Tuyen, Nguyen Van: Existence theorems in vector optimization with generalized order. J. Optim. Theory Appl. 174 (2017), no. 3, 728–745. (SCI-E, Scopus)
3. Chuong, Thai Doan; Kim, Do Sang*: Nondifferentiable minimax programming problems with applications. Ann.Oper.Res. 251 (2017), no. 1-2, 73–87. (SCI-E, Scopus)
4. Dinh, Bui Van; Kim, Do Sang*: Extragradient algorithms for equilibrium problems and symmetric generalized hybrid mappings. Optim. Lett. 11 (2017), no. 3, 537–553. (SCI-E, Scopus)
2016 (8)
1. Kim, Do Sang*; Vuong, Phan Tu; Khanh, Pham Duy Qualitative properties of strongly pseudomonotone variational inequalities. Optim. Lett. 10 (2016), no. 8, 1669–1679. (SCI-E, Scopus)
2. Chuong, Thai Doan; Kim, Do Sang*: A class of nonsmooth fractional multiobjective optimization problems. Ann. Oper. Res. 244 (2016), no. 2, 367–383. (SCI-E, Scopus)
3. Singh, Deepak; Dar, Bilal Ahmad; Kim, Do Sang*: KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions. European J. Oper. Res. 254 (2016), no. 1, 29–39. (SCI-E, Scopus)
4. Chuong, Thai Doan; Kim, Do Sang*: Hölder-like property and metric regularity of a positive-order for implicit multifunctions. Math. Oper. Res. 41 (2016), no. 2, 596–611. (SCI-E, Scopus)
5. Dinh, Bui Van; Kim, Do Sang*: Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space. J. Comput. Appl. Math. 302 (2016), 106–117. (SCI-E, Scopus)
6. Chuong, Thai Doan; Kim, Do Sang*: Approximate solutions of multiobjective optimization problems. Positivity 20 (2016), no. 1, 187–207. (SCI-E, Scopus)
7. Piao, Guang-Ri; Jiao, Liguo; Kim, Do Sang*: Optimality conditions in nonconvex semi-infinite multiobjective optimization problems. J. Nonlinear Convex Anal. 17 (2016), no. 1, 167–175. (SCI-E, Scopus)
8. Vinh, N. T.; Kim, D. S.; Tam, N. N.; Yen, N. D.*: Duality gap function in infinite dimensional linear programming. J. Math. Anal. Appl. 437 (2016), no. 1, 1–15. (SCI-E, Scopus)
2015 (2)
1. Lee, Hyo Jung; Jiao, Liguo; Kim, Do Sang*: Higher-order duality in nondifferentiable multiobjective fractional programming involving cones. J. Nonlinear Convex Anal. 16 (2015), no. 10, 2103–2116. (SCI-E, Scopus)
2. Bae, Kwan Deok; Kim, Do Sang*; Jiao, Liguo: Mixed duality for a class of nondifferentiable multiobjective programming problems. J. Nonlinear Convex Anal. 16 (2015), no. 2, 255–263. (SCI-E, Scopus)
2014 (4)
1. Chuong, Thai Doan; Kim, Do Sang*: Optimality conditions and duality in nonsmooth multiobjective optimization problems. Ann. Oper. Res. 217 (2014), 117–136. (SCI-E, Scopus)
2. Saeidi, Shahram; Kim, Do Sang*: Combination of the hybrid steepest-descent method and the viscosity approximation. J. Optim. Theory Appl. 160 (2014), no. 3, 911–930. (SCI-E, Scopus)
3. Chuong, Thai Doan; Kim, Do Sang*: Nonsmooth semi-infinite multiobjective optimization problems. J. Optim. Theory Appl. 160 (2014), no. 3, 748–762. (SCI-E, Scopus)
4. Son, Ta Quang; Kim, Do Sang*: A new approach to characterize the solution set of a pseudoconvex programming problem. J. Comput. Appl. Math. 261 (2014), 333–340. (SCI-E, Scopus)
2013 (3)
1. Tinh, Phan Nhat; Kim, Do Sang*: Convex vector functions and some applications. J. Nonlinear Convex Anal. 14 (2013), no. 1, 139–161. (SCI-E, Scopus)
2. Son, Ta Quang; Kim, Do Sang*: ε-mixed type duality for nonconvex multiobjective programs with an infinite number of constraints. J. Global Optim. 57 (2013), no. 2, 447–465. (SCI-E, Scopus)
3. Huy, Nguyen Quang; Kim, Do Sang*: Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems. J. Global Optim. 56 (2013), no. 2, 431–448. (SCI-E, Scopus)
2012 (6)
1. Lee, Yu Jung; Kim, Do Sang*: Nondifferentiable higher order symmetric duality in multiobjective programming involving cones. J. Nonlinear Convex Anal. 13 (2012), no. 3, 599–614. (SCI-E, Scopus)
2. Huy, Nguyen Quang; Kim, Do Sang*; Ninh, K. V.: Stability of implicit multifunctions in Banach spaces. J. Optim. Theory Appl. 155 (2012), no. 2, 558–571. (SCI-E, Scopus)
3. Son, Ta Quang; Kim, Do Sang*; Tam, N. N.: Weak stability and strong duality of a class of nonconvex infinite programs via augmented Lagrangian. J. Global Optim. 53 (2012), no. 2, 165–184. (SCI-E, Scopus)
4. Kim, Do Sang*; Tam, N. N.; Yen, N. D.: Solution existence and stability of quadratically constrained convex quadratic programs. Optim. Lett. 6 (2012), no. 2, 363–373. (SCI-E, Scopus)
5. Huy, Nguyen Quang; Kim, Do Sang*: Stability and augmented Lagrangian duality in nonconvex semi-infinite programming. Nonlinear Anal. 75 (2012), no. 1, 163–176. (SCI-E, Scopus)
6. Huy, Nguyen Quang; Kim, Do Sang*: Duality in vector optimization via augmented Lagrangian. J. Math. Anal. Appl. 386 (2012), no. 2, 473–486. (SCI-E, Scopus)
2011 (2)
1. Kim, Ho Jung; Bae, Kwan Deok; Kim, Do Sang*: Mixed duality in nondifferentiable G-invex multiobjective programming. J. Nonlinear Convex Anal. 12 (2011), no. 3, 663–675. (SCI-E, Scopus)
2. Kim, Do Sang*; Son, Ta Quang: Characterizations of solution sets of a class of nonconvex semi-infinite programming problems. J. Nonlinear Convex Anal. 12 (2011), no. 3, 429–440. (SCI-E, Scopus)
2010 (1)
1. Kim, Do Sang*; Kang, Hun Suk; Lee, Yu Jung; Seo, You Young Higher order duality in multiobjective programming with cone constraints. Optimization 59 (2010), no. 1, 29–43. (SCI-E, Scopus)
2009 (3)
1. Kim, Do Sang*; Lee, Yu Jung Nondifferentiable higher order duality in multiobjective programming involving cones. Nonlinear Anal. 71 (2009), no. 12, e2474–e2480. (SCI-E, Scopus)
2. Kim, Do Sang*; Lee, Yu Jung; Bae, Kwan Deok: Duality in nondifferentiable multiobjective fractional programs involving cones. Taiwanese J. Math. 13 (2009), no. 6A, 1811–1821. (SCI-E, Scopus)
3. Kim, Do Sang*; Bae, Kwan Deok: Optimality conditions and duality for a class of nondifferentiable multiobjective programming problems. Taiwanese J. Math. 13 (2009), no. 2B, 789–804. (SCI-E, Scopus)
2008 (4)
1. Kim, Do Sang*; Lee, Yu Jung; Lee, Hyo Jung: Nondifferentiable multiobjective second order symmetric duality with cone constraints. Taiwanese J. Math. 12 (2008), no. 8, 1943–1964. (SCI-E, Scopus)
2. Kim, Do Sang*; Kang, Hun Suk; Lee, Yu Jung: Second order symmetric duality for nondifferentiable multiobjective programming involving cones. Taiwanese J. Math. 12 (2008), no. 6, 1347–1363. (SCI-E, Scopus)
3. Kim, Moon Hee; Kim, Do Sang*: Non-differentiable symmetric duality for multiobjective programming with cone constraints. European J. Oper. Res. 188 (2008), no. 3, 652–661. (SCI-E, Scopus)
4. Sach, Pham Huu; Kim, Do Sang; Tuan, L. A.; Lee, Gue Myung: Duality results for generalized vector variational inequalities with set-valued maps. J. Optim. Theory Appl. 136 (2008), no. 1, 105–123. (SCI-E, Scopus)
2007 (1)
1. Kim, Do Sang; Lee, Hyo Jung; Lee, Yu Jung: Generalized second order symmetric duality in nondifferentiable multiobjective programming. Taiwanese J. Math. 11 (2007), no. 3, 745–764. (SCI-E, Scopus)
2006 (4)
1. Kim, Do Sang; Kim, S. J.; Kim, M. H.: Optimality and duality for a class of nondifferentiable multiobjective fractional programming problems. J. Optim. Theory Appl. 129 (2006), no. 1, 131–146. (SCI-E, Scopus)
2. Sach, Pham Huu; Kim, Do Sang; Lee, Gue Myung: Strong duality for proper efficiency in vector optimization. J.
Optim. Theory
Appl. 130 (2006), no. 1, 139–151. (SCI-E, Scopus)
3. Kim, Do Sang: Nonsmooth multiobjective fractional programming with generalized invexity. Taiwanese J. Math. 10 (2006), no. 2, 467–478. (SCI-E, Scopus)
4. Sach, Pham Huu; Kim, Do Sang; Lee, Gue Myung: Invexity as necessary optimality condition in nonsmooth programs. J. Korean Math. Soc. 43 (2006), no. 2, 241–258.
2005 (4)
1. Lee, Gue Myung; Kim, Do Sang; Sach, Pham Huu: Characterizations of Hartley proper efficiency in nonconvex vector optimization. J. Global Optim. 33 (2005), no. 2, 273–298.
2. Kim, Do Sang: Multiobjective fractional programming with a modified objective function. Commun. Korean Math. Soc. 20 (2005), no. 4, 837–847.
3. Sach, Pham Huu; Kim, Do Sang; Lee, Gue Myung: Generalized convexity and nonsmooth problems of vector optimization. J. Global Optim. 31 (2005), no. 3, 383–403.
4. Kim, Do Sang; Kim, Myung Hee: Generalized type I invexity and duality in multiobjective variational problems. J. Math. Anal. Appl. 307 (2005), no. 2, 533–554.
2004 (7)
1. Kim, Jong Kyu; Kim, Do Sang: A new system of generalized nonlinear mixed variational inequalities in Hilbert spaces. J. Convex Anal. 11 (2004), no. 1, 235–243.
2. Kim, Do Sang; Noh, Kyung-A.: Symmetric duality in quadratic programming and matrix game equivalence. Appl. Math. Lett. 17 (2004), no. 11, 1247–1252.
3. Kim, Do Sang; Noh, Kyung-A.: Symmetric dual nonlinear programming and matrix game equivalence. J. Math. Anal. Appl. 298 (2004), no. 1, 1–13.
4. Kim, Do Sang; Schaible, Siegfried Optimality and duality for invex nonsmooth multiobjective programming problems. Optimization 53 (2004), no. 2, 165–176.
5. Sach, Pham Huu; Lee, Gue Myung; Kim, Do Sang: Efficiency and generalised convexity in vector optimisation problems. ANZIAM J. 45 (2004), no. 4, 523–546.
6. Kim, Do Sang; Lee, Gue Myung; Sach, Pham Huu: Hartley proper efficiency in multifunction optimization. J. Optim. Theory Appl. 120 (2004), no. 1, 129–145.
7. Kim, Do Sang; Lee, Won Jung; Schaible, Siegfried: Symmetric duality for invex multiobjective fractional variational problems. J. Math. Anal. Appl. 289 (2004), no. 2, 505–521.
2003 (2)
1. Sach, Pham Huu; Lee, Gue Myung; Kim, Do Sang: Infine functions, nonsmooth alternative theorems and vector optimization problems. J. Global Optim. 27 (2003), no. 1, 51–81.
2. Kim, Do Sang; Kim, Myung Hee; Kim, Jong Kyu: Duality and sufficiency in multiobjective control problems with generalized invexity. J. Nonlinear Convex Anal. 4 (2003), no. 1, 87–104.
2002 (1)
1. Kim, Do Sang; Kim, Ai Lian Optimality and duality for nondifferentiable multiobjective variational problems. J. Math. Anal. Appl. 274 (2002), no. 1, 255–278.
2001 (1)
1. Kim, Do Sang; Lee, Gue Myung; Lee, Byung Soo; Cho, Sung Jin: Counterexample and optimality conditions in differentiable multiobjective programming. J. Optim. Theory Appl. 109 (2001), no. 1, 187–192.